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Non-Metric Full-Multidimensional Scaling

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Classification and Data Analysis
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Abstract

This paper focuses on some solutions for non-metric full-Multidimensional Scaling (MDS), minimizing the STRESS and S-STRESS loss functions. In particular, the linear transformations of dissimilarities into Euclidean distances minimizing the two loss functions are given. A non trivial result for S-STRESS with a quadratic transformation of dissimilarities, constraining its coefficients, is also obtained.

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References

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© 1999 Springer-Verlag Berlin · Heidelberg

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Vichi, M. (1999). Non-Metric Full-Multidimensional Scaling. In: Vichi, M., Opitz, O. (eds) Classification and Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60126-2_21

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  • DOI: https://doi.org/10.1007/978-3-642-60126-2_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65633-3

  • Online ISBN: 978-3-642-60126-2

  • eBook Packages: Springer Book Archive

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